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242200444240 = 24525999116447
BaseRepresentation
bin1110000110010001000…
…1010111110101010000
3212011011100212101000201
43201210101113311100
512432011303203430
6303133152024544
723332644544066
oct3414421276520
9764140771021
10242200444240
11937979225a7
123ab34532154
1319abb22a341
14ba18a04036
1564782148ca
hex3864457d50

242200444240 has 40 divisors (see below), whose sum is σ = 563142528000. Its totient is φ = 96875619456.

The previous prime is 242200444229. The next prime is 242200444247. The reversal of 242200444240 is 42444002242.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×2422004442402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242200444199 and 242200444208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242200444247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2021697 + ... + 2138143.

It is an arithmetic number, because the mean of its divisors is an integer number (14078563200).

Almost surely, 2242200444240 is an apocalyptic number.

242200444240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242200444240 is an abundant number, since it is smaller than the sum of its proper divisors (320942083760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

242200444240 is a wasteful number, since it uses less digits than its factorization.

242200444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142459 (or 142453 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 242200444240 its reverse (42444002242), we get a palindrome (284644446482).

The spelling of 242200444240 in words is "two hundred forty-two billion, two hundred million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25999 51998 103996 116447 129995 207992 232894 259990 415984 465788 519980 582235 931576 1039960 1164470 1863152 2079920 2328940 4657880 9315760 3027505553 6055011106 12110022212 15137527765 24220044424 30275055530 48440088848 60550111060 121100222120 242200444240